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Simplifying -7(x + 8) = 3(x + -2) Reorder the terms: -7(8 + x) = 3(x + -2) (8 * -7 + x * -7) = 3(x + -2) (-56 + -7x) = 3(x + -2) Reorder the terms: -56 + -7x = 3(-2 + x) -56 + -7x = (-2 * 3 + x * 3) -56 + -7x = (-6 + 3x) Solving -56 + -7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -56 + -7x + -3x = -6 + 3x + -3x Combine like terms: -7x + -3x = -10x -56 + -10x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -56 + -10x = -6 + 0 -56 + -10x = -6 Add '56' to each side of the equation. -56 + 56 + -10x = -6 + 56 Combine like terms: -56 + 56 = 0 0 + -10x = -6 + 56 -10x = -6 + 56 Combine like terms: -6 + 56 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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